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Cited by 69Quantum many-body systemsTheoretical and Computational PhysicsCold Atom Physics and Bose-Einstein Condensates

Quenching a quantum critical state by the order parameter: Dynamical quantum phase transitions and quantum speed limits

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Heyl, Markus·2017·Physical Review B
DOI 10.1103/physrevb.95.060504
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Abstract

The dynamics in the vicinity of quantum phase transitions entails a variety of important and universal phenomena, such as critical slowing down or the Kibble-Zurek mechanism, which are associated with the low-energy and long-time properties at criticality. Here, the author reveals that the opposite regime of transient nonequilibrium time evolution at criticality can similarly host universal temporal behavior. By strongly perturbing a quantum critical state through quenching the associated order parameter, the system experiences a dynamical quantum phase transition with physical quantities becoming nonanalytic at critical times. These dynamical quantum phase transitions are caused by superextensive energy fluctuations induced by the particular protocol, which turn out to have profound consequences for quantum speed limits and potential restricted thermalization despite the nonintegrability of the system.

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Cited by

Sorted by citations

Authors
Heyl, M.
Affiliations
Max Planck Institute for the Physics of Complex Systems (DE)
Corresponding author
Heyl, Markus
ORCID
Heyl, Markus
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
2017-02-09
Volume
95
Issue
6
ISSN
  • 2469-9950 (ISSN-L)
  • 2469-9969
DOI
10.1103/physrevb.95.060504
OpenAlex
W2517721597
Cited by
69
References
9
Citations by year
2026: 4 · 2025: 5 · 2024: 3 · 2023: 1 · 2022: 5 · 2021: 9 · 2020: 6 · 2019: 11 · 2018: 13 · 2017: 11 · 2016: 1
FWCI
5.50
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical review. B./Physical review. B (publishedVersion)
  • arXiv (Cornell University) (publishedVersion)
  • Max Planck Digital Library (submittedVersion)
  • MPG.PuRe (Max Planck Society) (submittedVersion)
  • OPUS (Augsburg University) (submittedVersion)
  • arXiv (Cornell University)
Funders
Deutsche Forschungsgemeinschaft
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
Keywords
dynamical quantum phase transitions, quantum speed limit, quantum criticality, non-analyticity, critical slowing down, Kibble-Zurek mechanism, nonequilibrium dynamics, non-integrability

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